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Finding the Third Proportional to 134,476 and 289,699

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Solution

The third proportional to 134,476 and 289,699 is: 624,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,476 : 289,699 = 289,699 : x
  2. Step 2: Convert to fraction form
    134,476/289,699 = 289,699/x
  3. Step 3: Cross multiply
    134,476x = 289,699 × 289,699
  4. Step 4: Simplify right side
    134,476x = 83,925,510,601
  5. Step 5: Solve for x
    x = 83,925,510,601/134,476
  6. Step 6: Final answer
    x = 624,092.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.